In most mathematics-related research articles theorems, lemmas and corollaries use the same sequential numbering:
$ \ldots$ ,
which quickly becomes confusing (and counterintuituve) as for instance the second Theorem becomes Theorem 3. It would make much more sense to have:
i.e., each type of object having its own numbering sequence. As such, one can easily navigate through the paper without getting confused when reading Theorem 3 (i.e., where is Theorem 2?). Why is it preferred to have such a common numbering in research articles?
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